Two-Dimensional Cremona Groups Acting on Simplicial Complexes

DOI10.2307/2154009zbMath0767.14006OpenAlexW4248624035MaRDI QIDQ3993855

Wright, David

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2154009

zbMATH Keywords

birational automorphismsalgebraic automorphism2-dimensional Cremona groupautomorphism of the rational function field

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Automorphisms of surfaces and higher-dimensional varieties (14J50) Infinite automorphism groups (20B27)

Related Items

Normal subgroup generated by a plane polynomial automorphism ⋮ Three-dimensional analogues of the nagata surfaces ⋮ A new presentation of the plane Cremona group ⋮ The tame automorphism group of an affine quadric threefold acting on a square complex ⋮ Acylindrical hyperbolicity of groups acting on trees ⋮ Length in the Cremona group ⋮ The generalized amalgamated product structure of the tame automorphism group in dimension three ⋮ Defining relations of the tame automorphism group of polynomial algebras in three variables ⋮ The real plane Cremona group is an amalgamated product

Cites Work

• Homology of the group of automorphisms of \(k[x,y\)]
• An elementay proof of the automorphism theorem for the polynomial ring in two variables
• Generators and relations for certain special linear groups
• AUTOMORPHISMS OF AFFINE SURFACES. II
• Über ganze birationale Transformationen der Ebene.
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